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Finding the Fourth Proportional to 26,558.52, 39,826.50 and 11,757

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Solution

The fourth proportional to 26,558.52, 39,826.50 and 11,757 is: 17,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,558.52 : 39,826.50 = 11,757 : x
  2. Step 2: Convert to fraction form
    26,558.52/39,826.50 = 11,757/x
  3. Step 3: Cross multiply
    26,558.52x = 39,826.50 × 11,757
  4. Step 4: Simplify right side
    26,558.52x = 468,240,160.50
  5. Step 5: Solve for x
    x = 468,240,160.50/26,558.52
  6. Step 6: Final answer
    x = 17,630.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.